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This monograph provides an extensive treatment of the theory and applications of the celebrated Borel-Cantelli Lemma. Starting from some of the basic facts of the axiomatic probability theory, it embodies the classical versions of these lemma, together with the well known as well as the most recent extensions of them due to Barndorff-Nielsen, Balakrishnan and Stepanov, Erdos and Renyi, Kochen and Stone, Petrov and the present author. The versions of the second Borel-Cantelli Lemma for pair wise negative quadrant dependent sequences, weakly *-mixing sequences, mixing sequences (due to Renyi) and for many other dependent sequences are all included. The special feature of the book is a detailed discussion of a strengthened form of the second Borel-Cantelli Lemma and the conditional form of the Borel-Cantelli Lemmas due to Levy, Chen and Serfling. All these results are well illustrated by means of many interesting examples. All the proofs are rigorous, complete and lucid. An extensive list of research papers, some of which are forthcoming, is provided. The book can be used for a self study and as an invaluable research reference on the present topic.
A wide range of topics and perspectives in the field of statistics are brought together in this volume. The contributions originate from invited papers presented at an international conference which was held in honour of C. Radhakrishna Rao, one of the most eminent statisticians of our time and a distinguished scientist.
"Akashvani" (English) is a programme journal of ALL INDIA RADIO, it was formerly known as The Indian Listener. It used to serve the listener as a bradshaw of broadcasting ,and give listener the useful information in an interesting manner about programmes, who writes them, take part in them and produce them along with photographs of performing artists. It also contains the information of major changes in the policy and service of the organisation. The Indian Listener (fortnightly programme journal of AIR in English) published by The Indian State Broadcasting Service, Bombay, started on 22 December, 1935 and was the successor to the Indian Radio Times in English, which was published beginning ...
Renewable Energy for Plug-In Electric Vehicles: Challenges, Approaches, and Solutions for Grid Integration provides a holistic guide to the critical technical challenges of integrating renewable energy for grid-connected electric vehicles. Considering the impact of renewable energy integration from a wide range of perspectives, this book leverages its global range and expertise to cover problems from power stability to market strategies, fast charging, and cybersecurity. Practical solutions are provided, incorporating the latest advances in technologies across meters, sensors, batteries, storage, demand response, artificial intelligence, and power system design.Supporting broad understanding...
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The book provides insights of International Conference in Communication, Devices and Networking (ICCDN 2017) organized by the Department of Electronics and Communication Engineering, Sikkim Manipal Institute of Technology, Sikkim, India during 3 – 4 June, 2017. The book discusses latest research papers presented by researchers, engineers, academicians and industry professionals. It also assists both novice and experienced scientists and developers, to explore newer scopes, collect new ideas and establish new cooperation between research groups and exchange ideas, information, techniques and applications in the field of electronics, communication, devices and networking.
Advanced Materials for Wastewater Treatment and Desalination: Fundamentals to Applications offers a comprehensive overview of current progress in the development of advanced materials used in wastewater treatment and desalination. The book is divided into two major sections, covering both fundamentals and applications. This book: Describes the synthesis and modification of advanced materials, including metal oxides, carbonaceous materials, perovskite-based materials, polymer-based materials, and advanced nanocomposites Examines relevant synthesis routes and mechanisms as well as correlates materials' properties with their characterization Details new fabrication techniques including green synthesis, solvent-free, and energy-saving synthesis approaches Highlights various applications, such as removal of organic contaminants, discoloration of dye wastewater, petrochemical wastewater treatment, and electrochemically-enhanced water treatment With chapters written by leading researchers from around the world, this book will be of interest to chemical, materials, and environmental engineers working on progressing materials applications to improve water treatment technologies.
New tools for early detection of cognitive brain diseases like depression, epilepsy, parkinson’s disease etc.and the design, analysia, application of such tools. Immense technical value, novelty, importance of work which is valuable for researchers. Incorporates recent technology - breakthrougha in treating brain disease patients.